Effective action for the field equations of charged black holes

Abstract

In this article, we consistently reduce the equations of motion for the bosonic N = 2 supergravity action, using a multi-centered black hole ansatz for the metric. This reduction is done in a general, non-supersymmetric setup, in which we extend concepts of BPS black hole technology. First of all we obtain a more general form of the black hole potential, as part of an effective action for both the scalars and the vectors in the supergravity theory. Furthermore, we show that there are extra constraints specifying the solution, which we calculate explicitly. In the literature, these constraints have already been studied in the one-center case. We also show that the effective action we obtain for non-static metrics, can be linked to the "entropy function" for the spherically symmetric case, as defined by Sen and Cardoso et al.

18 pages, (v2: small corrections, version to be published in CQG)

References in corpus (1)

• Black hole entropy functions and attractor equations

Cited by in corpus (6)

• A first-order formalism for timelike and spacelike brane solutions
• Ungauging black holes and hidden supercharges
• Non-supersymmetric extremal multicenter black holes with superpotentials
• Black holes as generalised Toda molecules
• Attractors and first order formalism in five dimensions revisited
• Multi-Centered Black Hole Flows